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2. (15 marks) Find the solution of the following parabolic problem, Otu - Oxru + 20xu =0, 0 0, u(t, x = 0) = u(t,

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2. (15 marks) Find the solution of the following parabolic problem, Otu - Oxru + 20xu =0, 00, u(t, x = 0) = u(t, x = 1) = 0, u(t = 0, a) = 2(1 -x) . You can use Mathematica (or similar software) to calculate the integrals involved in finding the expansion coefficients

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